After beating Scunthorpe United 3-0 in our opening Group E fixture, City will be hoping for a similar result and performance when we travel to the Keepmoat Stadium for a 19:00pm (UK) kick-off.
Although Doncaster currently sit at the foot of the League One table, they come into the tie having been buoyed by a first win of the season at the weekend over Morecambe.
With this in mind, Barry-Murphy is expecting our young blues to be pushed to their limits on Tuesday evening but is pleased that they will have the opportunity to showcase their talents on a grander stage.
"I think it’s a brilliant competition, I think the demands of this week means the Club will have a first-team game in the Carabao Cup and then in the Papa John’s as well,” he said.
"That combination will be really exciting in terms of the exposure I hope our players will get.
"Doncaster will be a really competitive game because they will want to get their season kick-started so it will be a great fixture for our guys and another great test.
"From my experience, the EFL clubs treat it very importantly, combine that with playing against ourselves, getting to go to stadiums and play against players that we don't face every week.
"We have to expose our players and push them through as many tests as we can and Tuesday's game will be a very important part of that.
"Irrespective of the result it will be an amazing night for us.”
City travel to Yorkshire off the back of an enthralling 4-2 comeback win over Crystal Palace in Premier League 2.
Our Elite Development Squad twice fell behind before the break, but a brace from PL2 player of the month James McAtee and a Sam Edozie penalty secured a second half turnaround and ensured we stayed top of the table in the process.
And while Barry-Murphy is keen for his players to avoid going behind in the first instance, he once again couldn’t fault the character shown to force a route back into the contest.
He reflected: "Obviously we don’t want to get into the habit of conceding first but it was great to see how we reacted.
"Crystal Palace are a very good team and you could see with the results they've had it was going to be a difficult test. It was very competitive and that element for our players was very good.
"We want them to experience these things and have to overcome them.
“I said to the players after the game that every question that has been asked of them they’ve answered all season long."